Mathematics – Geometric Topology
Scientific paper
2004-12-23
Mathematics
Geometric Topology
26 pages, 9 figures, Appendix. To appear in Mathematical Proceedings of the Cambridge Philosophical Society
Scientific paper
10.1017/S0305004105008431
We study two systems of tangle equations that arise when modeling the action of the Integrase family of proteins on DNA. These two systems--direct and inverted repeats--correspond to two different possibilities for the initial DNA sequence. We present one new class of solutions to the tangle equations. In the case of inverted repeats we prove that any solution not in these, or 2 previously known classes, would have to belong to one specific class. In the case of direct repeats we prove that the three classes are are the only solutions possible.
Buck Dorothy
Marcotte Cynthia Verjovsky
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